Apond contains 100 fish, ofwhich 30 are carp. If 20 fish are caught, what are the mean and variance of the number of carp among

Question

4 years ago

13

the 20? What assumptions are you making?

1 answer:

Sergeu [11.5K] · Answer 1 · 2022-01-03T16:29:13+03:00

Total fish = 100

Carp = 30

Number of fish caught = 20

The random variable X follows hyper-geometric distribution.

Mean = 30 *20 / 100 = 600/100 = 6

Variance = 30*20/100 * ((20-1)*(30-1)/100-1 + 1-30*20/100)

Variance = 600/100 * 56/99

Variance = 112/33

Assumptions: Is that X follows hyper-geometric distribution with the given information.